Results 31 to 40 of about 1,044 (116)
On low-dimensional solvmanifolds [PDF]
105 pages, 36 tables; ad v4: References to other papers ...
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Examples of solvmanifolds without LCK structures
The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
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The Classification of Flat Solvmanifolds [PDF]
This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of dimensions 3, 4, and
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Hypercomplex Almost Abelian Solvmanifolds
Minor ...
Adrián Andrada, María Laura Barberis
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SKT and tamed symplectic structures on solvmanifolds [PDF]
Final version of the paper "Tamed complex structures on solvmanifolds".
FINO, Anna Maria+2 more
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Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
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Distinguished $$G_2$$-Structures on Solvmanifolds [PDF]
Among closed G2-structures there are two very distinguished classes: Laplacian solitons and Extremally Ricci-pinched G2-structures. We study the existence problem and explore possible interplays between these concepts in the context of left-invariant G2-structures on solvable Lie groups.
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Cohomology of D-complex manifolds [PDF]
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Angella, Daniele+1 more
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Chern‐Simons forms of pseudo‐Riemannian homogeneity on the oscillator group
We consider forms of Chern‐Simons type associated to homogeneous pseudo‐Riemannian structures. The corresponding secondary classes are a measure of the lack of a homogeneous pseudo‐Riemannian space to be locally symmetric. In the present paper, we compute these forms for the oscillator group and the corresponding secondary classes of the compact ...
P. M. Gadea, J. A. Oubiña
wiley +1 more source
Non-formal co-symplectic manifolds [PDF]
We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product.
Bazzoni, Giovanni+2 more
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